IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v58y2007i10d10.1057_palgrave.jors.2602273.html
   My bibliography  Save this article

A positive approach to estimating the weights for quadratic multiple objective programming

Author

Listed:
  • C M Yates

Abstract

This paper integrates positive and normative approaches to modelling. The normative approach uses assumptions associated with multiple objective programming. The positive approach uses past observations to estimate the weights associated with each objective criteria. The technique encompasses both linear and non-linear objectives such as profit, cost and risk as well as quadratic calibration terms. The proposed methodology minimizes the sum of squared errors about the ideal multiple objective function, that is one that would reproduce observed results, rather than to minimize errors between fitted and observed activity levels. The technique removes the need to rely upon the use of abstract restraints normally applied to mathematical programming methods and provides a more objective means of testing the appropriateness of a model than previously. The technique has many applications in the field of mathematical modelling such as forecasting and analysing changes in decision-making and behaviour.

Suggested Citation

  • C M Yates, 2007. "A positive approach to estimating the weights for quadratic multiple objective programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(10), pages 1332-1340, October.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:10:d:10.1057_palgrave.jors.2602273
    DOI: 10.1057/palgrave.jors.2602273
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/palgrave.jors.2602273
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1057/palgrave.jors.2602273?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ottmar Röhm & Stephan Dabbert, 2003. "Integrating Agri-Environmental Programs into Regional Production Models: An Extension of Positive Mathematical Programming," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(1), pages 254-265.
    2. Hoover, Kevin D, 1995. "Facts and Artifacts: Calibration and the Empirical Assessment of Real-Business-Cycle Models," Oxford Economic Papers, Oxford University Press, vol. 47(1), pages 24-44, January.
    3. Richard E. Howitt, 1995. "Positive Mathematical Programming," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(2), pages 329-342.
    4. Kirkwood, Craig W. & Corner, James L., 1993. "The Effectiveness of Partial Information about Attribute Weights for Ranking Alternatives in Multiattribute Decision Making," Organizational Behavior and Human Decision Processes, Elsevier, vol. 54(3), pages 456-476, April.
    5. Paul J. H. Schoemaker & C. Carter Waid, 1982. "An Experimental Comparison of Different Approaches to Determining Weights in Additive Utility Models," Management Science, INFORMS, vol. 28(2), pages 182-196, February.
    6. Craig W. Kirkwood & Rakesh K. Sarin, 1985. "Ranking with Partial Information: A Method and an Application," Operations Research, INFORMS, vol. 33(1), pages 38-48, February.
    7. F. Hutton Barron & Bruce E. Barrett, 1996. "Decision Quality Using Ranked Attribute Weights," Management Science, INFORMS, vol. 42(11), pages 1515-1523, November.
    8. Paul V. Preckel & David Harrington & Robert Dubman, 2002. "Primal/Dual Positive Math Programming: Illustrated Through an Evaluation of the Impacts of Market Resistance to Genetically Modified Grains," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(3), pages 679-690.
    9. Peter C. Fishburn, 1965. "Analysis of Decisions with Incomplete Knowledge of Probabilities," Operations Research, INFORMS, vol. 13(2), pages 217-237, April.
    10. Jaccard, James & Brinberg, David & Ackerman, Lee J, 1986. "Assessing Attribute Importance: A Comparison of Six Methods," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 12(4), pages 463-468, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ahn, Byeong Seok, 2011. "Compatible weighting method with rank order centroid: Maximum entropy ordered weighted averaging approach," European Journal of Operational Research, Elsevier, vol. 212(3), pages 552-559, August.
    2. Moshkovich, Helen M. & Mechitov, Alexander I. & Olson, David L., 2002. "Ordinal judgments in multiattribute decision analysis," European Journal of Operational Research, Elsevier, vol. 137(3), pages 625-641, March.
    3. K S Park & I Jeong, 2011. "How to treat strict preference information in multicriteria decision analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1771-1783, October.
    4. Luis V. Montiel & J. Eric Bickel, 2014. "A Generalized Sampling Approach for Multilinear Utility Functions Given Partial Preference Information," Decision Analysis, INFORMS, vol. 11(3), pages 147-170, September.
    5. Hovanov, Nikolai & Yudaeva, Maria & Hovanov, Kirill, 2009. "Multicriteria estimation of probabilities on basis of expert non-numeric, non-exact and non-complete knowledge," European Journal of Operational Research, Elsevier, vol. 195(3), pages 857-863, June.
    6. Fausto Cavallaro & Edmundas Kazimieras Zavadskas & Saulius Raslanas, 2016. "Evaluation of Combined Heat and Power (CHP) Systems Using Fuzzy Shannon Entropy and Fuzzy TOPSIS," Sustainability, MDPI, vol. 8(6), pages 1-21, June.
    7. Manel Baucells & Juan A. Carrasco & Robin M. Hogarth, 2008. "Cumulative Dominance and Heuristic Performance in Binary Multiattribute Choice," Operations Research, INFORMS, vol. 56(5), pages 1289-1304, October.
    8. Johannes G. Jaspersen & Gilberto Montibeller, 2015. "Probability Elicitation Under Severe Time Pressure: A Rank‐Based Method," Risk Analysis, John Wiley & Sons, vol. 35(7), pages 1317-1335, July.
    9. Roger Chapman Burk & Richard M. Nehring, 2023. "An Empirical Comparison of Rank-Based Surrogate Weights in Additive Multiattribute Decision Analysis," Decision Analysis, INFORMS, vol. 20(1), pages 55-72, March.
    10. Blanco Fonseca, Maria & Iglesias Martinez, Eva, 2005. "Modelling New EU Agricultural Policies: Global Guidelines, Local Strategies," 89th Seminar, February 2-5, 2005, Parma, Italy 232644, European Association of Agricultural Economists.
    11. de Almeida, Jonatas Araujo & Costa, Ana Paula Cabral Seixas & de Almeida-Filho, Adiel Teixeira, 2016. "A new method for elicitation of criteria weights in additive models: Flexible and interactive tradeoffAuthor-Name: de Almeida, Adiel Teixeira," European Journal of Operational Research, Elsevier, vol. 250(1), pages 179-191.
    12. Kaddani, Sami & Vanderpooten, Daniel & Vanpeperstraete, Jean-Michel & Aissi, Hassene, 2017. "Weighted sum model with partial preference information: Application to multi-objective optimization," European Journal of Operational Research, Elsevier, vol. 260(2), pages 665-679.
    13. Ahn, Byeong Seok, 2017. "Approximate weighting method for multiattribute decision problems with imprecise parameters," Omega, Elsevier, vol. 72(C), pages 87-95.
    14. Key, Nigel D. & Kaplan, Jonathan D., 2007. "Multiple Environmental Externalities and Manure Management Policy," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 32(1), pages 1-20, April.
    15. Carpentier, Alain & Letort, Elodie, 2009. "Modeling acreage decisions within the multinomial Logit framework," Working Papers 211011, Institut National de la recherche Agronomique (INRA), Departement Sciences Sociales, Agriculture et Alimentation, Espace et Environnement (SAE2).
    16. Ehrmann, Markus, 2010. "Assessing Ecological And Economic Impacts Of Policy Scenarios On Farm Level," 50th Annual Conference, Braunschweig, Germany, September 29-October 1, 2010 93949, German Association of Agricultural Economists (GEWISOLA).
    17. Louhichi, Kamel & Flichman, Guillermo & Blanco Fonseca, Maria, 2009. "A generic template for FSSIM," Reports 57463, Wageningen University, SEAMLESS: System for Environmental and Agricultural Modelling; Linking European Science and Society.
    18. Jay Simon, 2020. "Weight Approximation for Spatial Outcomes," Sustainability, MDPI, vol. 12(14), pages 1-18, July.
    19. Kim, Soung Hie & Han, Chang Hee, 2000. "Establishing dominance between alternatives with incomplete information in a hierarchically structured attribute tree," European Journal of Operational Research, Elsevier, vol. 122(1), pages 79-90, April.
    20. Harrington, David H. & Jefferson-Moore, Kenrett Y., 2006. "The Distribution of Rents in Supply Chain Industries: The Case of High Oil Corn," 2006 Annual Meeting, August 12-18, 2006, Queensland, Australia 25579, International Association of Agricultural Economists.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pal:jorsoc:v:58:y:2007:i:10:d:10.1057_palgrave.jors.2602273. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.